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Finding the Fourth Proportional to 243,841.38, 365,774.31 and 77,642.34

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Solution

The fourth proportional to 243,841.38, 365,774.31 and 77,642.34 is: 116,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,841.38 : 365,774.31 = 77,642.34 : x
  2. Step 2: Convert to fraction form
    243,841.38/365,774.31 = 77,642.34/x
  3. Step 3: Cross multiply
    243,841.38x = 365,774.31 × 77,642.34
  4. Step 4: Simplify right side
    243,841.38x = 28,399,573,340.29
  5. Step 5: Solve for x
    x = 28,399,573,340.29/243,841.38
  6. Step 6: Final answer
    x = 116,467.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.